CN112506635B - Evolutionary immunization method based on self-adaptive strategy - Google Patents

Evolutionary immunization method based on self-adaptive strategy Download PDF

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CN112506635B
CN112506635B CN202011461165.0A CN202011461165A CN112506635B CN 112506635 B CN112506635 B CN 112506635B CN 202011461165 A CN202011461165 A CN 202011461165A CN 112506635 B CN112506635 B CN 112506635B
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population
offspring
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陈晓纪
海滨
王磊
李龙飞
陆发燕
张淑芳
胡张飞
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Chery Automobile Co Ltd
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Abstract

The invention provides an evolutionary immunization method based on a self-adaptive strategy, which comprises the following steps: s1, initializing parameters and constructing a differential evolution operator pool; s2, randomly selecting a differential evolution operator to generate immune individuals in the population; s3, dividing the population into a plurality of sub-populations with the same size, calculating each target value of immune individuals, and sequencing and reserving elite solutions under each target value; s4, selecting a clone offspring of a differential evolution operator according to the adaptive value improvement rate of offspring and father in each sub population; s5, based on a non-dominant sorting strategy, obtaining non-dominant solutions in all sub-populations, and constructing an elite solution set; and S6, updating the individual evaluation times, executing the step S4 until the individual evaluation times reach a time threshold value, and outputting an optimal solution. And storing each evolution operator by utilizing a sliding window to generate an adaptive value of the population individuals, evaluating the advantages and disadvantages of each evolution operator, and selecting the optimal evolution operator in a self-adaptive mode to execute population optimization.

Description

Evolutionary immunization method based on self-adaptive strategy
Technical Field
The invention relates to the technical field of fog calculation, and provides an evolutionary immunization method based on a self-adaptive strategy.
Background
At present, fog calculation is widely focused by researchers at home and abroad. The fog calculation consists of scattered terminal equipment, an edge server, network interconnection equipment and the like, and can provide services such as calculation unloading, storage resources and the like. The fog calculation can be regarded as network extension of cloud calculation, and has the characteristics of low time delay, real-time interaction, position sensing, mobile support and the like. Because the fog calculation server is close to the mobile terminal, the transmission time delay required by the mobile terminal to transmit the task to the fog calculation is small, so that the mobile terminal unloads the application with complex calculation and higher time delay requirement into the fog calculation, and simultaneously, the transmission energy consumption of the mobile terminal and the link bandwidth transmitted to the cloud are also saved. However, fog servers have lower computing power than cloud servers. The problem of fog computing resource management and scheduling is a key to influence the performance of fog computing services, and particularly when large-scale service requests occur, if the problem of resource scheduling cannot be effectively solved, the problems of service delay, resource utilization rate reduction, user satisfaction and the like are increased. In fog computing resource management and scheduling, multiple objectives such as task time delay, energy consumption, billing and the like need to be considered simultaneously. How to optimize these objective functions simultaneously becomes a current difficulty in fog computing resource management and scheduling.
In recent years, immune algorithms have become one of the mainstream algorithms for solving the multi-objective optimization problem. However, conventional immune algorithms perform population evolution processes using only a single evolution operator, which can lead to difficult handling of complex multi-objective optimization problems. Even if different evolutionary operators are used for combination, a plurality of parameters are required to be adjusted, and population convergence and diversity are difficult to balance.
Disclosure of Invention
The invention provides an evolutionary immunization method based on an adaptive strategy, which aims to improve the problems.
The invention is realized in such a way that an evolutionary immunization method based on an adaptive strategy comprises the following steps:
s1, initializing parameters and constructing a differential evolution operator pool;
s2, initializing a population: randomly selecting a differential evolution operator from a differential evolution operator pool to generate immune individuals in the population, wherein one immune individual corresponds to a resource scheduling scheme of fog calculation;
s3, dividing the population into a plurality of sub-populations with the same size, calculating each target value of immune individuals, and sequencing and reserving elite solutions under each target value;
s4, selecting a clone offspring of a differential evolution operator according to the adaptive value improvement rate of offspring and father in each sub population;
s5, based on a non-dominant sorting strategy, obtaining non-dominant solutions in all sub-populations, and constructing an elite solution set;
and S6, updating the individual evaluation times, executing the step S4 until the individual evaluation times reach a time threshold value, and outputting an optimal solution.
Further, the target value is calculated based on an objective function consisting of a time delay objective function for completion of the task, an energy consumption objective function for execution of the task by the fog node, and a cost objective function generated when the fog node executes the task.
Further, the step S4 specifically includes the following steps:
s41, defining a sliding window, wherein the sliding window is used for storing a two-dimensional array structure of an adaptation value improvement rate between a offspring and a father and a corresponding differential evolution operator index;
s42, putting the adaptation value improvement rate between each offspring and the father in the child population and the selected differential evolution operator index into the sliding window until the sliding window is full;
s43, selecting a differential evolution operator corresponding to the maximum adaptation value improvement rate in the sliding window to execute cloning of offspring individuals on the sub population.
Further, the calculation formula of the adaptive value improvement rate FIR is specifically as follows:
wherein pf is i Representing the ith target value, cf, of the offspring individual i Representing the ith target value of the parent individual.
Further, after the adaptation value improvement rate of the offspring and the father and the selected differential evolution operator in the child population are placed in the sliding window, if the sliding window is not full, elite solution and the randomly selected differential evolution operator are randomly selected to generate offspring individuals, and the adaptation value improvement rate between the offspring and the father and the selected differential evolution operator are placed in the sliding window until the sliding window is filled.
Further, the delay objective function is specifically as follows:wherein RT i,j For the theoretical runtime of the current task i on the virtual resource j, TC i,j =1 means that the current task i runs on virtual resource j, whereas TC i,j =0;
The energy consumption objective function is expressed as follows:wherein EC is ij The energy which is needed to be consumed by the task j in the virtual resource i is represented;
the cost objective function is specifically as follows: o (O) 3 =RT i,j * perDJ; wherein RT i,j Representing the run time of the computing task i in the virtual resource j, perDJ represents the computational unit price of the cloud node resource.
Further, the differential evolution operator pool is composed of at least 2 differential evolution operators.
The invention designs a novel evolutionary immunization method based on an adaptive strategy, which is used for optimizing the problems of fog computing resource management and scheduling. In the method, a plurality of differential evolution operators form a differential evolution operator pool. In the population optimization process, each evolution operator is saved by utilizing a sliding window to generate an adaptation value of a population individual, the merits of each evolution operator are evaluated, and the optimal evolution operator is selected in a self-adaptive mode to execute the population optimization process. The invention improves the immune algorithm, fuses different differential evolution operators, and is used for solving the problems of multi-target fog computing resource management and scheduling.
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FIG. 1 is a schematic diagram of a fog computing resource scheduling scheme provided by an embodiment of the present invention;
fig. 2 is a flowchart of an evolutionary immunization method based on an adaptive strategy according to an embodiment of the present invention.
Detailed Description
The following detailed description of the invention refers to the accompanying drawings, which illustrate preferred embodiments of the invention in further detail.
Step 1. Parameter initialization and Gene representation
Firstly, initializing parameters such as the number of mist computing nodes, storage capacity, energy consumption and the like; then, initializing the task quantity and the data quantity of the request processing; initializing population scale and gene coding representation of population individuals according to the number of tasks and the number of mist calculation nodes as shown in figure 1; wherein t is i Representing the number of calculation tasks, i.e. [1, m ]],r j Represents the resource number, j E [1, n ]]. The corresponding decoding r can be obtained according to the coding mode 3 :{t 1 },r 1 :{t 2 },r 2 :{t 3 },…,r n :{t m It can be seen that each individual corresponds to an implementation of fog computing resource scheduling.
Step 2, constructing a differential evolution operator pool
1) DE/rand/1 "mutation strategy: is the most common mutation strategy, where all the difference vectors are randomly selected from the evolving population. Thus, it has no bias on any particular search direction, choosing a new search direction randomly at a time.
2) DE/rand/2 "mutation strategy: with two differential vectors, it is possible to have a larger amount of disturbance information than "DE/rand/1".
3) DE/current-to-rand/1 mutation strategy: the current solution is added to the two differential vectors to accelerate convergence.
Step 3. Fog calculation objective function
(1) Time delay: each specific task completion time is from task submission to feedback of task computing completion to the user. In the study, the time delay is defined as the time used by the task with the longest completion time in all tasks, and the calculation formula of the time delay objective function is specifically as follows:
wherein RT i,j For the theoretical runtime of the current task i on the virtual resource j, TC i,j =1 means that the current task i runs on virtual resource j, whereas TC i,j =0。
(2) Energy consumption: the second objective function is defined as the energy consumption of each fog computing node executing the computing task, and the computing formula of the energy consumption objective function is specifically as follows:
wherein EC is ij The virtual resource i represents the energy consumed by the task j in running.
(3) Charging: the third objective function is defined as the cost generated when each fog computing node executes the computing task, and the computing formula of the cost objective function is specifically as follows:
O 3 =RT i,j *perDJ
wherein RT i,j Representing the run time of the computing task i in the virtual resource j, perDJ represents the computational unit price of the cloud node resource.
Fig. 2 is a flowchart of an adaptive strategy-based evolutionary immunization method according to an embodiment of the present invention, which specifically includes the following steps:
s1, initializing parameters and constructing a differential evolution operator pool;
s2, initializing a population: randomly selecting a differential evolution operator from a differential evolution operator pool, generating immune individuals in the population, and repeatedly executing until the number of the immune individuals in the population reaches a specified number;
s3, dividing the population into a plurality of sub-populations with the same size, and calculating target values of each immune individual, including a delay target, an energy consumption target and a cost target value, and sequencing and reserving elite sets under the target values.
And S4, selecting a differential evolution operator to generate offspring based on the adaptive value improvement rate for each sub population.
In the embodiment of the present invention, the step S4 specifically includes the following steps:
s41, defining a sliding window, wherein the sliding window is defined as a two-dimensional array structure and is used for storing the adaptation value improvement rate between the offspring and the father and the index of the current differential evolution operator.
In the embodiment of the invention, the adaptive value improvement rate FIR calculation formulas of offspring and father are specifically as follows:
wherein pf is i Representing the ith target value, cf, of the offspring individual i Representing the ith target value of the parent individual.
S42, putting the adaptation value improvement rate between each offspring and the father in the child population and the selected differential evolution operator index into the sliding window until the sliding window is full; if the sliding window is not full, generating offspring individuals by randomly selecting elite solution and randomly selected differential evolution operators, calculating the adaptation value improvement rate of offspring and father, and storing the adaptation value improvement rate and the selected differential evolution operator index into the sliding window until the sliding window is full.
Assuming that the number of groups defining the sliding window is 5, 5 individuals exist in the sub-population, randomly selecting differential evolution operators in a differential evolution operator pool by the 5 individuals respectively, assuming that different differential evolution operators in the 5 are selected as a final selection result, respectively calculating the adaptation value improvement rates of offspring and father corresponding to the 5 differential evolution operators, and then selecting the differential evolution operator corresponding to the maximum adaptation value improvement rate to clone the sub-population next time.
S43, selecting a differential evolution operator corresponding to the maximum adaptation value improvement rate in the sliding window to execute cloning of offspring individuals on the sub population where the differential evolution operator is located. When only one differential evolution operator exists in the sliding window, randomly selecting one differential evolution operator to execute cloning of offspring individuals. Each sub-population employs the same execution.
S5, based on a non-dominant sorting strategy, obtaining non-dominant solutions in all sub-populations and constructing an elite solution set:
and S6, updating the individual evaluation times, executing the step S4 until the individual evaluation times reach a time threshold value, and outputting an optimal solution.
The invention designs a novel evolutionary immunization method based on an adaptive strategy, which is used for optimizing the problems of fog computing resource management and scheduling. In the method, a plurality of differential evolution operators form a differential evolution operator pool. In the population optimization process, each evolution operator is saved by utilizing a sliding window to generate an adaptation value of a population individual, the merits of each evolution operator are evaluated, and the optimal evolution operator is selected in a self-adaptive mode to execute the population optimization process. The invention improves the immune algorithm, fuses different differential evolution operators, and is used for solving the problems of multi-target fog computing resource management and scheduling.
It is obvious that the specific implementation of the present invention is not limited by the above-mentioned modes, and that it is within the scope of protection of the present invention only to adopt various insubstantial modifications made by the method conception and technical scheme of the present invention.

Claims (5)

1. An evolutionary immunization method based on an adaptive strategy, which is characterized by comprising the following steps:
s1, initializing parameters and constructing a differential evolution operator pool;
s2, initializing a population: randomly selecting a differential evolution operator from the differential evolution operator pool to generate immune individuals in the population, wherein one immune individual corresponds to a resource scheduling scheme of fog calculation;
s3, dividing the population into a plurality of sub-populations with the same size, calculating each target value of immune individuals, and sequencing and reserving elite solutions under each target value;
s4, selecting a clone offspring of a differential evolution operator according to the adaptive value improvement rate of offspring and father in each sub population;
s5, based on a non-dominant sorting strategy, obtaining non-dominant solutions in all sub-populations, and constructing an elite solution set;
s6, updating the individual evaluation times, executing the step S4 until the individual evaluation times reach a time threshold value, and outputting an optimal solution;
the target value is calculated based on an objective function, wherein the objective function consists of a time delay objective function for completing a task, an energy consumption objective function for executing the task by a fog node and a cost objective function generated when the fog node executes the task;
the delay objective function is specifically as follows:wherein RT i,j For the theoretical runtime of the current task i on the virtual resource j, TC i,j =1 means that the current task i runs on virtual resource j, whereas TC i,j =0;
The energy consumption objective function is expressed as follows:wherein EC is ij The energy which is needed to be consumed by the task j in the virtual resource i is represented;
the cost objective function is specifically as follows: o (O) 3 =RT i,j * perDJ; wherein RT i,j Representing the running time of the computing task i in the virtual resource j, and perDJ represents the computing unit price of the fog node resource;
when the offspring is cloned based on the self-adaptive value improvement rate of the offspring and the father in the sub-population, the self-adaptive value improvement rate of the offspring and the father in the sub-population is used for storing each evolution operator to generate the adaptive value of the population individual through a sliding window in the population optimization process, the quality of each evolution operator is evaluated, and the optimal evolution operator is selected in a self-adaptive mode to execute the population optimization process.
2. The adaptive strategy-based evolutionary immunization method as claimed in claim 1, wherein said step S4 comprises the steps of:
s41, defining a sliding window, wherein the sliding window is used for storing a two-dimensional array structure of an adaptation value improvement rate between a offspring and a father and a corresponding differential evolution operator index;
s42, putting the adaptation value improvement rate between each offspring and the father in the child population and the selected differential evolution operator index into the sliding window until the sliding window is full;
s43, selecting a differential evolution operator corresponding to the maximum adaptation value improvement rate in the sliding window to execute cloning of offspring individuals on the sub population.
3. The adaptive strategy-based evolutionary immunization method as claimed in claim 2, wherein the adaptive value improvement rate FIR is calculated as follows:
wherein pf is i Representing the ith target value, cf, of the offspring individual i Representing the ith target value of the parent individual.
4. The adaptive strategy-based evolutionary immunization method as claimed in claim 2, wherein after the adaptation value improvement rate of the offspring and the father in the sub-population and the selected differential evolution operator are placed in the sliding window, if the sliding window is not full, elite solution and the randomly selected differential evolution operator are randomly selected to generate offspring individuals, and the adaptation value improvement rate between the offspring and the father and the selected differential evolution operator are placed in the sliding window until the sliding window is filled.
5. The adaptive strategy-based evolutionary immunization method of claim 1, wherein the pool of differential evolution operators consists of at least 2 differential evolution operators.
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